I'm digging out all of my puzzle books and running through
them. Unfortunately, my large Puzzler collection is back on the East Coast,
so this isn't as complete as I want it.

Some difficulty is that sometimes it's hard to distinguish between a Sudoku
variant and a puzzle that simply uses a Latin square concept. So, I've
restricted myself to cases where the puzzle seems clearly inspired by
"Number Place" or "Sudoku", although one exception is worth mentioning:

In issue 92 of Nikoli (2000-09), they introduced a puzzle called 因子の部屋
("Inshi no Heya" = "Factor Rooms"), invented by 矢野龍王 (YANO
Ryuou).
The goal is to create a 9x9 Latin square by filling each cell with digits from
1 through 9. Regions are given, and the *product* of the numbers in the
regions are given. "Factor Rooms" puzzles have appeared sporadically in
Nikoli since issue 95.

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From the 13th Japanese WPC Semifinal:

Puzzle 7 is called "12345ナンプレ" ("12345nanpure")
("nanpure" being short for "nanbaa puresu", "Number Place").
A 15-by-15 grid divided into 15 regular 3x5 regions.
Rule 1. Each cell should contain a number from 1 through 5.
Rule 2. Each row, column, and region should contain
each number from 1..5 three times.
Rule 3. Cells adjacent orthogonally never have the same number.

Puzzle 22 is called "セルフメイク合体ナンプレ"
("serufumeiku gattai nanpure" = "Self-Make
Combined Number Place")
You're given four number-place grids to fill in. Each grid by itself might
not be completely solvable, but the four grids interlock in some order to
create a cross-like arrangement.

There are two "合体ナンプレ" = "gattai nanpure" = "Combined
Number Place".
The first one overlaps in two regions!.

There is one "対角線ナンプレ" = "taikakusen
nanpure" = "Diagonal Line Number
Place". The only trick here is that the diagonals also contain
numbers 1-9.

There is a "サムナンプレ" = "samu nanpure" = "Sum
Number Place".
It has an added restriction that the sum of numbers in certain groups are given.

There is a "幾何学ナンプレ" = "kikagaku
nanpure" = "Geometry Number Place".
The only trick here is that the regions are of odd shapes.

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From the 52nd issue of "ナンプレファン" = "nanpure
fan". (2004-10-01)
I purchased this at a bookstore during the IPP in Tokyo last year.
Yes, there's a bimonthly magazine with just number place puzzles, and
it's not the only one! This one is from the same publishing company as
the previous two cites, http://www.puzzler.ne.jp/ . I'm
sure they
have lots of variants in the issues I didn't buy. :)
Colored Number Place: the cells are colored; the upper left of each of the
9 areas is colored yellow, the lower-left is colored, blue, etc. Each
colored
group of 9 cells has the distinct property.

A few Combined Number Places, a bunch of Diagonal Number Places, a
bunch of Geometry Number Places.

"1つ違いナンプレ" : "Hitotsu Chigai Nanpure" = "1-away
Disallowed Number Place":
All the places where orthogonally adjacent cells are consecutive numbers have
been specially marked. Note that puzzle 73 is completely unmarked, and this
is deliberate!

"ゼロ トゥー ナイン ナンプレ" : "Zero
Tuu Nain Nanpure" = "0 to 9 Number Place":
Each row, column, and region has all 10 digits. Some cells contain two digits,
and those are marked.

"Sweating Relay" : Three progressively
larger Combined Number Places.
Each time you solve a puzzle, you have to propagate certain digits to seed
the next puzzle (this is the "relay" component).
Note the large "2", "3", and "5" in the puzzles.

"黒マスつきナンプレ" : "Kuro-masu
Tsuki Nanpure" = "Black-cell Handling":
Each region, row, and column contains numbers 1-9 and three black cells.
The black cells have to obey Japanese crossword rules: no two are
orthogonally adjacent, and they can't divide the grid up into two regions.

Puzzles 88-100 are reader submissions. Some I like are:

Puzzle 90 is worth noting for being a number place with only 18
given cells,
and given symetrically. (The minimum is 17.)

"大小偶数奇数ナンプレ" = "Daishou
Guusuu Kisuu Nanpure"
= "Big-small-even-odd Number
Place".
Cells are colored red, blue, yellow, green.
Blue means the number is "big" (5 to 9)
Red means the number is "small" (1 to 4)
Green means the number is "even" (2,4,6,8)
Yellow means the number is "odd" (1,3,5,7,9)

"1234 Number Place": Each region, row, and
column have one 1, two 2s,
three 3s, and four 4s. Identical digits are never orthogonally adjacent.

Skyscraper Number Place. Noticed
this in the corner of the answer column,
apparently it was a competition puzzle for the WPC Japan team selection
from the June issue. Clearly it is number place with Skyscraper rules.

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From the 2004-09 issue of "ナンバープレース" ("Nanbaapureesu" = "Number
Place"). This is a bimonthly magazine from a different publisher,http://www.puzzle-king.ne.jp/
They also have a magazine on the other months called "ナンプレジャック"
("Nanpure Jyakku" = "Number Place Jack") I wonder what that's about.

"不等式ナンプレ" = "Fudoushiki Nanpure" = "Inequality
Number Place"
Only rows and columns, no regions. Relationships between adjacent
cells are given.

"ツートンカラーナンプレ" = "Tsuuton
Karaa Nanpure" = "Two-Tone Color Number Place"
Two "extra" regions are shaded in with a color. These regions also obey the
distinct property.

"区分ナンプレ" = "Kubun Nanpure" = "Demarcated
Number Place"
Each row and column has digits 1-7. There are little "signpost" indicators
in certain cells. A digit on a signpost means that that digit is somewhere
in that direction of the signpost, but before the next signpost.

"チェーンナンプレ" = "Cheen Nanpure" = "Chain
Number Place"
Only rows and columns, only numbers 1-6, and adjacent consecutive
numbers have a link between them.

"キュービックリレーナンプレ" = "Kyuubikkuriree
Nanpure" = "Cubic Relay Number Place".
The constraints on the cubic portion is that each region has digits
from 1 through
8, each "layer" of the three dimensions on the cube also have distinct digits.
The relay is just propagating lettered cells.

From looking at the answer section, it appeared these
twists were used in
a previous issue:
Q198: Some rows and columns had numbers; they represented the sum of
the two ends.
Q205: Ditto, except for differences instead of sums.
Q212: Ditto, except for products.
Q218: A criss-cross inside a number place, I think.
Q217: A Cubic Combined.
Q280: A 28x28 Number Place.